TY - JOUR
A2 - Baessler, Stefan
AU - Escobar, M.
AU - Meyerovich, A. E.
PY - 2014
DA - 2014/07/23
TI - Quantized Ultracold Neutrons in Rough Waveguides: GRANIT Experiments and Beyond
SP - 185414
VL - 2014
AB - We apply our general theory of transport in systems with random rough boundaries to gravitationally quantized ultracold neutrons in rough waveguides as in GRANIT experiments (ILL, Grenoble). We consider waveguides with roughness in both two and one dimensions (2D and 1D). In the biased diffusion approximation the depletion times for the gravitational quantum states can be easily expressed via each other irrespective of the system parameters. The calculation of the exit neutron count reduces to evaluation of a single constant which contains a complicated integral of the correlation function of surface roughness. In the case of 1D roughness (random grating) this constant is calculated analytically for common types of the correlation functions. The results obey simple scaling relations which are slightly different in 1D and 2D. We predict the exit neutron count for the new GRANIT cell.
SN - 1687-7357
UR - https://doi.org/10.1155/2014/185414
DO - 10.1155/2014/185414
JF - Advances in High Energy Physics
PB - Hindawi Publishing Corporation
KW -
ER -